Question: 13. Car correlations What factor most explains differences in Fuel Efficiency among cars? Below is a correlation matrix exploring that relationship for the cars Weight,

13. Car correlations What factor most explains differences in Fuel Efficiency among cars? Below is a correlation matrix exploring that relationship for the car’s Weight, Horsepower, engine size (Displacement), and number of Cylinders.

MPG Weight Horse- MPG Weight power Displacement Cylinders 1.000 -0.903 1.000 Horsepower

a) Which factor seems most strongly associated with Fuel Efficiency?

b) What does the negative correlation indicate?

c) Explain the meaning of R2 for that relationship.

MPG Weight Horse- MPG Weight power Displacement Cylinders 1.000 -0.903 1.000 Horsepower -0.871 0.917 1.000 Displacement -0.786 0.951 0.872 Cylinders -0.806 0.917 0.864 1.000 0.940 1.000

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